SOLUTION: How many different sums can be obtained by adding two different integers chosen from the set below? {-12, -11, -10,...+6, +7, +8}

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Question 381377: How many different sums can be obtained by adding two different integers chosen from the set below?
{-12, -11, -10,...+6, +7, +8}

Answer by richard1234(5390) About Me  (Show Source):
You can put this solution on YOUR website!
The lowest sum is -23 and the largest is 15. All other sums can be made by adding/subtracting 1 from a previous existing number.
Therefore the possible sums are {-23, -22, ..., 15} which is 39 sums.